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> Uncountable reals only exist as abstract thought experiments. Technically, sufficiently large natural numbers, such as 10^10^10 also exist only as thought ex
by Viliam1234 4y ago
> Uncountable reals only exist as abstract thought experiments.
Technically, sufficiently large natural numbers, such as 10^10^10 also exist only as thought experiments.
Technically, if we require the number to refer to some number of objects, there is such as thing as a largest natural number - it is the number of all particles that exist in the universe. If you add +1 to it, the result of that addition exists only as a thought experiment.
- Dylan16807 4y agoAs natural numbers get huge, they become gradually harder to use. Though no, I wouldn't require a number to represent some physical quantity, as long as the number itself fits in some kind of moderate physical boundary. But real numbers are wonky right from the start. Picking a single random real out of a range is infeasible.